Use a line of fit through (9, 80) and (15, 50) to find the equation of the line in slope-intercept form.

Answer: 1/45

Step-by-step explanation: 10 total marbles. 4 are blue 3 are red 2 are green and 1 is yellow. The chance of drawing a green is 2/10 or 1/5. Then there are only 9 marbles left in the bag. So the chance of a yellow marble is 1/9. 1/5 x 1/9 = 1/45.

We can say that if the term of arithmetic progression decrease in magnitude then the common difference must be negative.

An arithmetic progression is a sequence where every term is a sum of the previous term and a common difference.

If we suppose the first term of an arithmetic progression to be a, and the common difference to be d, then the arithmetic progression goes like this:

The first term, a₁ = a,

Second term, a₂ = a₁ + d = a + d,

Third term, a₃ = a₂ + d = a + 2d,

Fourth term, a₄ = a₃ + d = a + 3d, and it goes so on up to,

The n-th term, aₙ = aₙ₋₁ + d = a + (n - 1)d.

In the question, we are asked if the term of arithmetic progression decrease in magnitude then what can we say about the common difference.

As the magnitude of the term decreases, we can show that as:

The n-th term < The first term,

or, aₙ < a₁,

or, a + (n - 1)d < a,

or, a + (n - 1)d - a < a - a {Subtracting a from both sides},

or, (n - 1)d < 0.

Since, n > 1, (n - 1) > 0, thus we get the common difference, d < 0, that is, the common difference is negative.

Thus, we can say that if the term of arithmetic progression decrease in magnitude then the common difference must be negative.

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The quantity of water left in the tank as described in the task content is; 111 l 220ml.

The tank described in the task content initially contains 200 liters, in which case, 1 liter corresponds to 1000ml.

Hence, when 88l 580ml was used, the remaining quantity of water is; 200l - (88l 580ml) = 111 l 420ml.

And finally, since 200 ml leaked, the quantity of water left is; 111l 220ml.

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Answer:

2x⁴-45x-8

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

The arc length is (2)(pi)(27)(40/360)=6pi.

So, k=6.

[tex]y = 9x {}^{2} - 4 \\ flip \: x \: and \: y \\ x =9 (y ) {}^{2} - 4 \\ solve \: for \: the \: inverse \: of \: y \\ x + 4 = 9(y ) {}^{2} \\ y {} {}^{2} = \frac{x + 4}{9} \\ you \: can \: split \: it \: into \: two[/tex]

[tex]y {}^{(1)} = \sqrt{ \frac{x + 4}{9} } \\ y {}^{(2)} = - \sqrt{ \frac{x + 4}{9} } [/tex]

Answer-4,5

Step-by-step explanation:

Answer:

41 years old

Step-by-step explanation:

2050-2022=28 years

13years old +28years = 41 years old (sorry if wrong)

Answer: Based on today's date of 7/19/2022, you will be 41 until October 21, 2050. On October 21, 2050 you will turn 42. You were born in 2008

Step-by-step explanation:

Answer: The function is even because [tex]f(x)=f(-x)[/tex].

Step-by-step explanation:

[tex]f(x)=3x^4 \\\\f(-x)=3(-x)^4 = 3x^4\\\\\therefore f(x)=f(-x)[/tex]

So, the function is even.

Answer:

domain means -4,0,-2 and range is -2,2,1

Considering an inverse proportional relationship, you find k taking a point (x,y), and multiplying the values of x and y.

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

For an inverse relationship, the function is:

[tex]y = \frac{k}{x}[/tex].

Then:

k = xy.

Which means that to find k, you take a point (x,y), and multiply the values of x and y.

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Answer:

18

Step-by-step explanation:

first we divide both parties by 5 making it so that 1/6 =3 and then we multiply  by 6 to make it 6/6 = 18

Answer: Hi here go your answer is

25 divides by 36 is 0.69444 or 0.69

Step-by-step explanation:

Answer: Pick an x value like x = 2

Note that f(2) = 1 and g(2) = 2. This shows we've doubled the f(x) value to get g(x). Therefore k = 2.

Or you could pick on x = 4 to see f(4) = 2 and g(4) = 4. The output of f(x) has been doubled as well.

It doesn't matter what x is since we'll have this doubling effect go on. I recommend picking x values where the points on the blue graph land perfectly on a grid location. Something like x = 5 seems a bit tricky.

:

Answer:

Step-by-step explanation:

If Sam has 4 times as many nickels as dimes and they have a combined value of 120 cents, how many of each coin does he have

Answer:

$ 7.52

Step-by-step explanation:

Find charge per minute

 59 - 23 min = 36 minutes   cost   16.32 - 10.56 = $ 5.76

      or   $5.76 / 36 min = 16 cents per min

   from 59 to 78 = 19 more minutes        x .16/min =  $ 3.04

            so from 59 to 78 will leave 10.56 - 3.04 = $7.52

The system of inequalities can model Gabrielle’s situation is;

x + 2y ≤ 20

x + 2y ≤ 203x + 2y ≤ 21

It follows from the task content, that the inequalities which can be used to model Gabrielle's situation be determined.

By setting variables as follows;

Brownie:

Sugar = 1 cup

Eggs = 2

Cookie:

Sugar = 3 cups

Eggs = 2

x + 2y ≤ 20

x + 2y ≤ 203x + 2y ≤ 21

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Answer:

y = 3x - 7

Step-by-step explanation:

Since the lines are parallel, the slopes will be the same.  In this case 3.  Now we have to find the y-intercept.  We will use the slope (3), the x (2) and  y (-1) to help us do this.  We get the x and the y from the ordered pair given(2,-1).

y = mx + b

-1 = 3(2) + b   Plug in what you know

-1 = 6 + b       Subtract 6 from both sides

-7 = b

Now we can write the equation

y = 3x -7

Answer:

280

Step-by-step explanation:

Set up a ratio to solve.

Mr. Fraser's class has 20 soccer playing students, and 14 are boys.

14/20 = x/400

Cross multiply. 20x= 5600

Divide by 20 to solve

x= 280

The length of the hypotenuse of the triangle as given is; √58 cm.

It follows from the task content that the triangle described in the task content is a right triangle with two other side lengths; 7cm and 5cm.

Hence, it follows from Pythagoras theorem that the length of the hypotenuse side of the triangle is;

Hypotenuse = √(5² + 7²)

Hypotenuse = √58 cm.

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The decision would be to fail to reject the null hypothesis and conclude that there is insufficient evidence.

The formula is fx/n

To get fx we have to sum all of the values of x = 2430161

The total number in the data set = 35

Mean = 2430161/35

= 69433.17

This test is a left tail test.

sd = 8500

H0: u = 70000

H1 : U < 70000

z0.05 = 1.645

The decision would be to reject if z < critical value

Z= (69433.17 - 70000)/(8500/√35)

= -0.395

P-value can be gotten from the z score = 0.348

Given that the p value is > 0.05, we would have to fail to reject the null. The conclusion would be that there is insufficient evidence to support claim.

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Answer:

3x + 18

Step-by-step explanation:

3x + 10 = 3y - 2(y + 4)

3x + 10 = 3y - 2y - 8

3x + 18 = y

Answer:

D, 3x + 18.

Step-by-step explanation:

3x + 10 = 3y - 2(y + 4)

3x + 10 = 3y - 2y - 8

3x + 10 = y - 8

y = 3x + 10 + 8

y = 3x + 18.

The least positive integer, written only by numbers 0, 1, and 2, which is divisible by 225 is 1,222,200.

A number (A) is divisible by another number (K) when the division of A by K, leaves a remainder of 0.

In the question, we are asked to find the least positive integer, written only by numbers 0, 1, and 2, which is divisible by 225.

Now, we need to know that the multiples of 225 end with 00, 25, 50, and 75.

So, to have a multiple with digits 0, 1, and 2, we need the last digits to be 00.

The smallest multiple of 225, ending with 00 is 225*4 = 900.

So, we need to have the least multiple of 900, with digits 0, 1, and 2.

We know that a multiple of 9, has a sum of its digit as 9.

The smallest multiple of 9, with digits 1, and 2, will be 12222.

Adding the last 00 to this, we get the least multiple as 1,222,200.

Thus, the least positive integer, written only by numbers 0, 1, and 2, which is divisible by 225 is 1,222,200.

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The function f(x) = -(1/1500)(x³ + 10x² - 275x - 1500) the zeros are at (-20, 0), (-15, 0) and (15, 0). Hence the factors of the function are x + 20, x + 15 and x - 15.

An equation is an expression that shows the relationship between two or more numbers and variables.

From the graph of the function f(x) = -(1/1500)(x³ + 10x² - 275x - 1500) the zeros are at (-20, 0), (-15, 0) and (15, 0). Hence the factors of the function are x + 20, x + 15 and x - 15.

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Answer:180 °

Step-by-step explanation:

Answer:

90 degrees

Step-by-step explanation:

The only numbers that are possible to be divided into 180 are these: 30, 45, 60, 90, & 180.

Now to figure out if this figure is symmetrical. It is. Why? Because you can put at least one line through each triangle. 8 in total but 180 cannot be divided by 8. So you could maybe split it in half. 180/4= 45

45x2= 90

Easy: Since there are now, two halves, since it is split up, it could be possible that the answer could be 90. Because 180/2 halves= 90.

The answer is 90

The value of the given division operation is 3/7

From the question, we are to determine the quotient of the given division operation

The given division operation is

-3/2÷-7/2

[tex]\frac{-3}{2} \div \frac{-7}{2}[/tex]

[tex]=\frac{-3}{2} \times \frac{2}{-7}[/tex]

[tex]=\frac{-3}{-7}[/tex]

[tex]=\frac{3}{7}[/tex]

Hence, the value of the given division operation is 3/7

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The surface area of the composite figure shown in the figure attached is 233.6 cm²

An equation is an expression that shows the relationship between two or more numbers and variables.

The surface area of the composite = (6 * 8) + 2(8 * 3.6) + 2(0.5)(6 + 2 + 6 + 2)(3) + (8)(2 + 6 + 2) = 233.6 cm²

The surface area of the composite figure shown in the figure attached is 233.6 cm²

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Answer:

B

Step-by-step explanation:

Cos(0)=1

since the diagram shows x as (1,0)

Las cuentas de Dmitri de menor a mayor se ordenan: retiro, cheques y ahorros.

Para organizar las cuentas bancarias de Dmitri de menor a mayor debemos observar cuidadosamente los valores de cada una. Adicionalmente para organizarlas por valor absoluto nos fijamos únicamente en el número sin tener en cuenta el símbolo, en ese caso el valor de cheques pierde su símbolo negativo.

Entonces las cuentas quedarían organizadas así:

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Using the mean concept, the average collection for a student in this school was of $16.13.

The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.

The number of students is given as follows:

82 + 74 + 96 + 99 = 351.

The sum is:

82 x 26.75 + 74 x 12.25 + 96 x 15.50 + 99 x 10.85 = $5662.15

Hence the mean is:

M = $5662.15/351 = $16.13.

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